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Conductivity and mobility edges for two-dimensional disordered systems
Open accessAbstract
The energy levels of an electron in a disordered two-dimensional lattice are evaluated numerically for the honeycomb, square and triangular lattices with between 36 and 196 sites. The density of states and their localization properties are deduced from the results and the dependence of the positions of the mobility edges on disorder is studied. An analysis of the conductivity confirms the claim that the minimum metallic conductivity should have a universal value in two dimensions and that value was found to be (0.12+or-0.03)e 2 /h. A comparison of the predictions for the conductivity with the weak scattering limit is given.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
Abrahams, E., Anderson, P. W., Licciardello, D. C., & Ramakrishnan, T. V. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.673 · Cited by 6,134
Self-citationUltracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Vortex pinning and non-Hermitian quantum mechanics
Hatano, N., & Nelson, D. R. (1997) · Physical Review B · doi:10.1103/physrevb.56.8651 · Cited by 656
Metadata
- Authors
- Licciardello, D. C., & Thouless, D. J.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1975-12-21
- Volume
- 8
- Issue
- 24
- Pages
- 4157-4170
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2016111063
- Cited by
- 207
- References
- 1
- FWCI
- 12.40
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Licciardello, D. C., & Thouless, D. J. (1975). Conductivity and mobility edges for two-dimensional disordered systems. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/8/24/009
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